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Finding the Fourth Proportional to 26,078, 39,123.48 and 7,610

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Solution

The fourth proportional to 26,078, 39,123.48 and 7,610 is: 11,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,078 : 39,123.48 = 7,610 : x
  2. Step 2: Convert to fraction form
    26,078/39,123.48 = 7,610/x
  3. Step 3: Cross multiply
    26,078x = 39,123.48 × 7,610
  4. Step 4: Simplify right side
    26,078x = 297,729,682.80
  5. Step 5: Solve for x
    x = 297,729,682.80/26,078
  6. Step 6: Final answer
    x = 11,416.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.